Adjective. Describing a distribution, function, or graph that has one distinct maximum value or peak, creating a singular, distinct high point with values decreasing on either side. This term is commonly used in statistics, mathematics, and economics to characterize the shape of data or the characteristic of a parameter exhibiting one principal maximum. A single-peaked function is often contrasted with multi-peaked functions, indicating simpler or more unified behavior.
Single-peaked meaning with examples
- In the analysis of voter preferences, we found that the distribution of support for the candidate was single-peaked, indicating that most voters had a clear favorite rather than splitting their loyalties among multiple contenders. This suggests a decisive preference that could lead to a robust turnout on election day.
- The graph depicting the relationship between temperature and electricity use throughout the day illustrated a single-peaked shape, with usage increasing in the afternoon as temperatures rose, then decreasing at night. This pattern allows energy providers to adjust their supply strategies accordingly and better meet consumer demand.
- In ecology, the population of a specific species was shown to follow a single-peaked distribution in relation to the availability of food resources. The peak represents optimal conditions for reproduction and survival, while the declines on either side indicate stress or scarcity in other conditions.
- When modeling economic behavior, researchers observed that the utility function of consumers often presents a single-peaked characteristic, reflecting that they have a specific level of consumption that maximizes their satisfaction. This insight helps economists predict spending patterns and market trends effectively.